Difference between revisions of "Extremum Command"
From GeoGebra Manual
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;Extremum[ <Function ''f''>, <left-x>, <right-x> ]:Calculates (numerically) the extremum of ''f'' in the open interval ( <code><left-x>, <right-x></code> ) | ;Extremum[ <Function ''f''>, <left-x>, <right-x> ]:Calculates (numerically) the extremum of ''f'' in the open interval ( <code><left-x>, <right-x></code> ) | ||
:{{Note|1=Function ''f'' should be continuous in [ <left-x>, <right-x> ], otherwise false extremums near discontinuity might be calculated.}} | :{{Note|1=Function ''f'' should be continuous in [ <left-x>, <right-x> ], otherwise false extremums near discontinuity might be calculated.}} | ||
| − | :{{Example|1=<br><code> | + | :{{Example|1=<br><code>Extremum[(x⁴ - 3x³ - 4x² + 4) / 2, x(X_i), x(X_f)]</code> creates each local extrema point in the given interval and shows it in the [[Graphics View]].}} |
Revision as of 11:08, 27 December 2012
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This command differs among variants of English:
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- Extremum[ <Polynomial> ]
- Yields all local extrema of the polynomial function as points on the function graph.
- Example:
Extremum[x³ + 3x² - 2x + 1]creates local extrema points -(0.29, 0.696)and(-2.3, 9.3)- and shows them in the Graphics View.
- Extremum[ <Function f>, <left-x>, <right-x> ]
- Calculates (numerically) the extremum of f in the open interval (
<left-x>, <right-x>) - Note: Function f should be continuous in [ <left-x>, <right-x> ], otherwise false extremums near discontinuity might be calculated.
- Example:
Extremum[(x⁴ - 3x³ - 4x² + 4) / 2, x(X_i), x(X_f)]creates each local extrema point in the given interval and shows it in the Graphics View.
